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Optimum Parameter of Viscous Damper for Damped Adjacent Coupled System

机译：阻尼相邻耦合系统的粘滞阻尼器的最佳参数

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摘要

In this paper, the dynamic response of two adjacent single-degree-of-freedom (SDOF) structures connected by viscous damper is investigated under base acceleration. The base acceleration is modeled as harmonic excitation as well as stationary white noise random process. The governing equations of motion of the coupled structure are derived and solved for relative displacement and absolute acceleration responses. The viscous damper is found to be effective for response control of adjacent structures by connecting with appropriate damping coefficient of damper. The optimum damping of viscous damper and corresponding response quantities are obtained for different frequency ratio and mass ratio for viscously damped connected structures. Explicit expressions for optimum damper damping are then obtained for minimum responses of the coupled structures using curve-fitting technique that can be conveniently used for applications in dynamical systems. The error in these expressions is found to be negligible. Further, numerical results had indicated that the frequency ratio affect the optimum damper damping and corresponding responses, where as mass ratio and damping of the connected structures does not have noticeable effect on the optimum responses. A simulation study has also been carried out to examine the effectiveness of the explicit expressions.
机译：本文研究了在基础加速度作用下通过粘性阻尼器连接的两个相邻单自由度（SDOF）结构的动力响应。基本加速度建模为谐波激励以及平稳的白噪声随机过程。推导了耦合结构的运动控制方程，并针对相对位移和绝对加速度响应进行了求解。通过与适当的阻尼器阻尼系数连接，发现粘性阻尼器对于相邻结构的响应控制是有效的。对于粘性阻尼连接结构的不同频率比和质量比，可以获得粘性阻尼器的最佳阻尼和相应的响应量。然后使用曲线拟合技术获得最优阻尼器阻尼的显式表达式，以获取耦合结构的最小响应，该技术可以方便地应用于动力系统中。发现这些表达式中的错误可以忽略。此外，数值结果表明，频率比影响最佳阻尼器阻尼和相应的响应，而质量比和连接结构的阻尼对最佳响应没有明显的影响。还进行了模拟研究，以检查显式表达式的有效性。

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